Fair Vaule of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)	Dec. 31, 2016	Dec. 31, 2015	Dec. 31, 2014	Dec. 31, 2013
U.S. treasury securities	$ 19,103,925	$ 24,034,291
Certificates of deposit	61,280,000	58,127,000
Total fixed maturities	80,383,925	82,161,291
Cash and restricted cash	13,496,379	8,258,673	$ 309,162	$ 376,388
Short-term investments	10,204,603	15,640,803
Total financial instruments	104,084,907	106,060,767
Level 1
U.S. treasury securities	19,103,925	24,034,291
Certificates of deposit	0	0
Total fixed maturities	19,103,925	24,034,291
Cash and restricted cash	13,496,379	8,258,673
Short-term investments	10,204,603	15,640,803
Total financial instruments	42,804,907	47,933,767
Level 2
U.S. treasury securities	0	0
Certificates of deposit	61,280,000	58,127,000
Total fixed maturities	61,280,000	58,127,000
Cash and restricted cash	0	0
Short-term investments	0	0
Total financial instruments	61,280,000	58,127,000
Level 3
U.S. treasury securities	0	0
Certificates of deposit	0	0
Total fixed maturities	0	0
Cash and restricted cash	0	0
Short-term investments	0	0
Total financial instruments	$ 0	$ 0